Higher-order topological superconductors as generators of quantum codes

被引：40
|
作者：
You, Yizhi [1 ]
Litinski, Daniel [2 ]
von Oppen, Felix [2 ,3 ]
机构：
[1] Princeton Univ, Princeton Ctr Theoret Sci, Princeton, NJ 08544 USA
[2] Free Univ Berlin, Dahlem Ctr Complex Quantum Syst & Fachbereich Phy, D-14195 Berlin, Germany
[3] CALTECH, Inst Quantum Informat & Matter, Pasadena, CA 91125 USA
来源：
PHYSICAL REVIEW B | 2019年 / 100卷 / 05期
基金：
美国国家科学基金会;
关键词：
74;
D O I：
10.1103/PhysRevB.100.054513
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We show that interactions can drive a class of higher order topological superconductors (HOTSCs) into symmetry-enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting HOTSCs realize various topologically ordered surface and color codes. In three dimensions, interactions can drive HOTSCs protected by subsystem symmetries into recently discovered fracton phases. We explicitly relate fermion parity operators underlying the gapless excitations of the HOTSC to the Wilson algebra of symmetry-enriched quantum codes. Arrays of crossed Majorana wires provide an experimental platform for realizing fracton matter and for probing the quantum phase transition between HOTSCs and the topologically ordered phase.
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页数：9
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